LAUSR

Abstract This paper verifies the incompressible limit of the non-isentropic compressible magnetohydrodynamic (MHD) equations without magnetic diffusion in a three-dimensional bounded C 4 -domain. The uniform estimates in both the Mach number ϵ and the Peclet number κ for the local strong solutions, which exclude the estimate of high-order derivatives of the velocity in the normal directions to the boundary, are established in a short time interval independent of ϵ and κ ( κ ≤ O ( ϵ β ) , 0 β ≤ 4 3 ), provided that the “well-prepared” initial condition for the solution and the non-slip boundary condition for the velocity are imposed.